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Finding the Fourth Proportional to 136.90, 205.33 and 71.83

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Solution

The fourth proportional to 136.90, 205.33 and 71.83 is: 107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.90 : 205.33 = 71.83 : x
  2. Step 2: Convert to fraction form
    136.90/205.33 = 71.83/x
  3. Step 3: Cross multiply
    136.90x = 205.33 × 71.83
  4. Step 4: Simplify right side
    136.90x = 14,748.85
  5. Step 5: Solve for x
    x = 14,748.85/136.90
  6. Step 6: Final answer
    x = 107.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.